Simple criterion for the occurrence of Bose-Einstein condensation and the Meissner-Ochsenfeld effect
Klaus Kirsten, David J. Toms
DOI 10.1103/PhysRevD.55.7797 · Physical Review D
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation is given. We show that condensation can occur only if q>~3, where q is the dimension associated with the continuous part of the eigenvalue spectrum of the Hamiltonian for nonrelativistic systems or the spatial part of the Klein-Gordon operator for relativistic systems. Furthermore we show that the criterion for the appearance of the Meissner-Ochsenfeld effect is closely connected with that for the appearance of Bose-Einstein condensation.
Similar papers
Effective-action approach to Bose-Einstein condensation and superconductivity of a charged ideal nonrelativistic Bose gas
similarity 0.88D. J. Toms
Source status unknown — claims are unverified
Meissner effect in a charged Bose gas with short-range repulsion
similarity 0.84Shun-ichiro Koh · 2003 · arXiv:cond-mat/0305669
Source status unknown — claims are unverified
A Renormalization-Group Study of Interacting Bose-Einstein condensates: Absence of the Bogoliubov Mode below Four () and Three () Dimensions
similarity 0.83Takafumi Kita · 2019 · arXiv:1903.05230
Source status unknown — claims are unverified
Functional renormalization for Bose-Einstein Condensation
similarity 0.83S. Floerchinger & C. Wetterich · 2008 · arXiv:0801.2910
Source status unknown — claims are unverified
Superconductor-insulator quantum phase transition
similarity 0.82V. F. Gantmakher & V. T. Dolgopolov · 2010 · arXiv:1004.3761
Source status unknown — claims are unverified
Condensate of a charged boson fluid at non-integer dimensions
similarity 0.82Sang-Hoon Kim et al. · 2002 · arXiv:cond-mat/0204018
Source status unknown — claims are unverified